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• W4236037777 startingPage "295" @default.
• W4236037777 abstract "Abstract The argument examined in this chapter is that music—when approached through making and responding to coherent musical structures and facilitated by multiple, intuitively accessible representations—can become a learning context in which basic mathematical ideas may be elicited and perceived as relevant and important. Students’ inquiry into the bases for their perceptions of musical coherence provides a path into the mathematics of ratio, proportion, fractions, and common multiples. In a similar manner, we conjecture that other topics in mathematics—patterns of change, transformations, and invariants—might also expose, illuminate, and account for more general organizing structures in music. Drawing on experience with 11- and 12-year-old students working in a software music/math environment, we illustrate the role of multiple representations, multi-media, and the use of multiple sensory modalities in eliciting and developing students’ initially implicit knowledge of music and its inherent mathematics." @default.
• W4236037777 created "2022-05-12" @default.
• W4236037777 creator A5089663101 @default.
• W4236037777 date "2013-10-10" @default.
• W4236037777 modified "2023-10-15" @default.
• W4236037777 title "Music as embodied mathematics: A study of a mutually informing affinity" @default.
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• W4236037777 doi "https://doi.org/10.1093/acprof:oso/9780199589838.003.0017" @default.
• W4236037777 hasPublicationYear "2013" @default.
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